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Conditions for the validity of the quantum Langevin equation

Frenkel, Josif; Taylor, J. C. Universidade De São Paulo

PHYSICAL REVIEW E, COLLEGE PK, v. 85, n. 1, pp. 154-161, 43466, 2012

AMER PHYSICAL SOC; COLLEGE PK 2012

Acesso online

  • Título:
    Conditions for the validity of the quantum Langevin equation
  • Autor: Frenkel, Josif; Taylor, J. C.
  • Universidade De São Paulo
  • Assuntos: Mechanics; Physics; Fluids & Plasmas; Physics; Mathematical
  • É parte de: PHYSICAL REVIEW E, COLLEGE PK, v. 85, n. 1, pp. 154-161, 43466, 2012
  • Descrição: From microscopic models, a Langevin equation can, in general, be derived only as an approximation. Two possible conditions to validate this approximation are studied. One is, for a linear Langevin equation, that the frequency of the Fourier transform should be close to the natural frequency of the system. The other is by the assumption of "slow" variables. We test this method by comparison with an exactly soluble model and point out its limitations. We base our discussion on two approaches. The first is a direct, elementary treatment of Senitzky. The second is via a generalized Langevin equation as an intermediate step.
    CNPq (Brazil)
  • DOI: 10.1103/PhysRevE.85.011135
  • Títulos relacionados: PHYSICAL REVIEW E
  • Editor: AMER PHYSICAL SOC; COLLEGE PK
  • Data de publicação: 2012
  • Idioma: Inglês

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